M. Marcus Pivato

Publications

1. Bayesian social aggregation with almost-objective uncertainty, by M. Pivato and Élise Flore Tchouante, to appear in Theoretical Economics (2024).
2. Bayesian social aggregation with non-Archimedean utilities and probabilities, M. Pivato and  Élise Flore Tchouante, to appear in Economic Theory (2024).
3. Population ethics in an infinite universe, by M. Pivato, Philosophical Studies 180, pp. 3383–3414, 2023.
4. Cesàro average utilitarianism in relativistic spacetime, by M. Pivato.  Social Choice & Welfare  61, pp. 733–761, 2023.
5. A characterization of Cesàro average utility, by M. Pivato,  Journal of Economic Theory 201 (2022) 105440.
6. Bayesian social aggregation with accumulating evidence, by M. Pivato,  Journal of Economic Theory  200, 105399, 2022.
7.  The median rule in judgement aggregation, by Klaus Nehring and M. Pivato, Economic Theory 73, pages 1051–1100 (2022) [Open access] .       [Preprint version].
8.  Measure and integration on Boolean algebras of regular open subsets in a topological space, by M. Pivato and Vassili Vergopoulos,  Real Analysis Exchange  47 (#1), pages 25-62, 2022.
9. Deliberation and epistemic democracy,  by Huihui Ding and M. Pivato,  Journal of Economic Behavior and Organization 185, pp. 138-167, 2021.
10. Rawls’s Difference Principle and maximin rule of allocation: a new analysis, by Philippe Mongin and M. Pivato,  Economic Theory 71, pp. 1499–1525, 2021.
11. [Intertemporal choice with continuity constraints, M. Pivato, Mathematics of Operations Research  46 (#3), pp. 1203-1229, 2021.
12. [Dynamic and stochastic systems as a framework for metaphysics and the philosophy of science, by Christian List and M. Pivato,  Synthese 198, pp. 2551–2612, 2021.
13. Social preferences under twofold uncertainty,  Philippe Mongin and M.Pivato,  Economic Theory 70 (#3), pp. 633-663, 2020.
14. Rank-additive population ethics, M.Pivato,  Economic Theory 69(#4), pp. 861-918, 2020.
15.  Subjective expected utility with imperfect perception, M. Pivato and Vassili Vergopoulos,   Journal of Mathematical Economics 88, pp.104-122, 2020.
16. Weighted representative democracy,  M. Pivato and Arnold Soh,  Journal of Mathematical Economics  88, pp.52-63, 2020.
17. Subjective expected utility with a spectral state space, M. Pivato,  Economic Theory  69(#2), pp. 249-313, 2020.
18.  Majority rule in the absence of a majority, by Klaus Nehring and M. Pivato,  Journal of Economic Theory 183, September 2019, pp. 213-257.
19. Truth-Revealing Voting Rules for Large Populations, by Matías Núñez and M. Pivato,  Games and Economic Behaviour 113, 2019, pp. 285–305.
20. Realizing epistemic democracy, M. Pivato, in  The future of economic design (Jean-François Laslier, Hervé Moulin, Remzi Sanver, and William S. Zwicker, eds.), Springer-Verlag 2019, pp. 103-112.
21. Evolutionary stability of bargaining and price-posting: Implications for formal and informal activities, by Nejat Anbarci, Pedro Gomis-Porqueras, and M. Pivato.  Journal of Evolutionary Economics  28  (#2), April 2018, pp. 365–397.
22. Epistemic democracy with correlated voters, M. Pivato,  Journal of Mathematical Economics, 72, 2017  pp. 51-69.
23. The Efficiency of Tenure Contracts in Academic Employment, by Bruce Cater, Byron Lew and M. Pivato.  Journal of Public Economic Theory 19 (#2), April 2017, pp. 331–361.
24. Social Preference and Social Welfare Under Risk and Uncertainty, by Philippe Mongin and M. Pivato, Chapter 24 of  Handbook of Well-being and Public Policy, edited by Matthew D. Adler and Marc Fleurbaey,  pp. 711-745,  Oxford University Press, 2016.
25. Asymptotic utilitarianism in scoring rules, M. Pivato.   Social Choice and Welfare 47(#2), 2016, pp. 431-458.
26. Statistical utilitarianism, M. Pivato. (2016)  in The political economy of social choices (Maria Gallego and Norman Schofield, eds.),  pp.187-205,  Studies in political economy, Springer-Verlag, 2016.
27. Unanimity Overruled: Majority Voting and the Burden of History, by Klaus Nehring, M. Pivato, and Clemens Puppe,   Journal of Theoretical Politics 28 (#4) pp. 552-597, October 2016.
28. Condorcet meets Bentham,  by M. Pivato.  Journal of Mathematical Economics  59 (2015), pp.58-65.
29. Ranking Multidimensional Alternatives and Uncertain Prospects, by Philippe Mongin and M. Pivato.  Journal of Economic Theory   157, 2015, pp.146-171.
30. Emergent chance, by Christian List and M. Pivato.  The Philosophical Review 24 (#1), January 2015, pp. 119-152.
31. Social choice with approximate interpersonal comparisons of welfare gains, M. Pivato;  Theory & Decision 79 (#2), 2015, pp. 181-216.
32. [How indeterminate is sequential majority voting? A judgement aggregation perspective, by Klaus Nehring and M. Pivato,  pp.55-88 of The Mathematics of Decisions, Elections, and Games (Crisman, Karl-Dieter and Jones, Michael A., editors), volume 624 of Contemporary Mathematics, American Mathematical Society, 2014.
33. The Condorcet set: Majority voting over interconnected propositions, by Klaus Nehring, M. Pivato, and Clemens Puppe,    Journal of Economic Theory 151, 2014, pp. 268-303.
34. Additive representation of separable preferences over infinite products, M. Pivato; Theory and Decision 77 (#1), June 2014, pp. 31-83.
35. Formal utilitarianism and range voting, M. Pivato,   Mathematical Social Sciences 6 (#1), January 2014, pp. 50-56.
36. Multiutility representations for incomplete difference preorders, M. Pivato, Mathematical Social Sciences 66 (#3), November 2013, pp. 196-220
37. Social welfare with incomplete ordinal interpersonal comparisons, M. Pivato, Journal of Mathematical Economics 49 (#5), October 2013, pp. 405-417.
38. Variable population voting rules, M. Pivato,  Journal of Mathematical Economics 49 (#3), May 2013, pp. 210-221.
39. Voting rules as statistical estimators, M. Pivato, Social Choice & Welfare 40 (#2), February 2013, pp. 581-630.
40. Risky social choice with incomplete or noisy interpersonal comparisons of well-being, M. Pivato, Social Choice & Welfare 40 (#1), January 2013, pp. 123-139.
41. The ergodic theory of cellular automata, M. Pivato, International Journal of General Systems, 41 #6 (2012).
42. [A statistical approach to epistemic democracy, M. Pivato,  Episteme 9, special issue #2, June 2012, pp. 115-137.
43.  Incoherent majorities: The McGarvey problem in judgement aggregation, by Klaus Nehring and M. Pivato, Discrete Applied Mathematics 159 (2011), pp.1488-1507.
44. Positive expansiveness versus network dimension in symbolic dynamical systems, M. Pivato, Theoretical Computer Science 412 #30 (2011), pp.3838-3855.
45. RealLife, M. Pivato. In: Andrew Adamatzky (Ed.), Game of Life Cellular Automata (Springer-Verlag, 2010), Chapter 12, pp.223-234.
46. Embedding Bratteli–Vershik systems in cellular automata, M. Pivato and Reem Yassawi. Ergodic Theory & Dynamical Systems, (2010), 30, pp.1561-1572.
47. The ergodic theory of cellular automata, in the Encyclopedia of Complexity and System Science, Robert A. Meyers, ed. (Springer-Verlag, 2009).
48.  Geometric models of consistent judgement aggregation, M. Pivato, Social Choice &Welfare 33 (#4), 2009, pp.559-574.
49. Pyramidal Democracy, M. Pivato, Journal of Public Deliberation, Vol. 5 (#1), 2009, Article 8.
50. Twofold optimality of the relative utilitarian bargaining solution, M. Pivato, Social Choice & Welfare 32 (#1), 2009, pp.79-92.
51. Emergent defect dynamics in two-dimensional cellular automata, by Martin Delacourt and M. Pivato, Journal of Cellular Automata, 4 (#2), 2009, pp.111-124.
52. Module shifts and measure rigidity in linear cellular automata, M. Pivato, Ergodic Theory & Dynamical Systems, 28, (#6), December 2008, pp.1945-1958.
53. The spatial structure of odometers in certain cellular automata. M. Pivato and Reem Yassawi. Proceedings of “Journées Automates Cellulaires” (Uzés, France; April 21-25, 2008), pp.119-129.
54. Defect particle kinematics in one-dimensional cellular automata, M. Pivato, Theoretical Computer Science, 377, (#1-3), May 2007, pp.205-228.
55. RealLife: the continuum limit of Larger than Life cellular automata, M. Pivato, Theoretical Computer Science, 372 (#1), 2007, pp. 46-68.
56. Prevalence of odometers in cellular automata, Ethan M. Coven, M. Pivato, and Reem Yassawi. Proceedings of the American Mathematical Society, 135, 2007, pp.815-821.
57. Spectral domain boundaries in cellular automata, M. Pivato, Fundamenta Informaticae, 78 (#3), 2007, pp.417-447.
58. Algebraic invariants for crystallographic defects in cellular automata, M. Pivato, Ergodic Theory & Dynamical Systems, 27 (#1), February 2007, pp. 199-240.
59. Asymptotic randomization of subgroup shifts by linear cellular automata, by Alejandro Maass, Servet Martinez, M. Pivato, and Reem Yassawi, Ergodic Theory & Dynamical Systems, 26 (#4), 2006, pp.1203-1224.
60. Asymptotic randomization of sofic shifts by linear cellular automata, M. Pivato and Reem Yassawi, Ergodic Theory & Dynamical Systems 26 (#4), 2006, pp.1177-1201.
61. Attractiveness of the Haar measure for the action of linear cellular automata in Abelian topological Markov chains, by Alejandro Maass, Servet Martinez, M. Pivato and Reem Yassawi, pp. 100-108, in Dynamics & Stochastics: Festschrift in honour of Michael Keane (volume 48, Lecture Notes Monograph Series of Institute for Mathematical Statistics), 2006.
62. Cellular automata vs. quasisturmian shifts, M. Pivato, Ergodic Theory & Dynamical Systems, 25 (#5), 2005, pp. 1583-1632.
63. Invariant measures for bipermutative cellular automata, M. Pivato, Discrete & Continuous Dynamical Systems A, 12 (#4), 2005, pp. 723 - 736.
64. Limit measures for affine cellular automata II, M. Pivato and Reem Yassawi, Ergodic Theory & Dynamical Systems, 24 (#6), 2004, pp. 1961-1980
65. Interior symmetry and local bifurcation in coupled cell networks, by Martin Golubitsky, M. Pivato, and Ian Stewart, Dynamical Systems: an International Journal, 19 (#4), 2004, pp.389-407.
66. Symmetry groupoids and patterns of synchrony in coupled cell networks, by Martin Golubitsky, M. Pivato, and Ian Stewart, SIAM Journal of Applied Dynamical Systems, 2 (#4), 2003, pp. 609 - 646.
67. Estimating the spectral measure of a multivariate stable distribution via spherical harmonic analysis, M. Pivato and Luis Seco, Journal of Multivariate Analysis, 87 (#2), 2003, pp. 219-240.
68. Multiplicative cellular automata on nilpotent groups: Structure, entropy, and asymptotics, M. Pivato, Journal of Statistical Physics, 110 (#1/2), 2003, pp. 247-267.
69. Conservation laws for cellular automata, M. Pivato, Nonlinearity, 15, 2002, pp. 1781- 1793.
70. Limit measures for affine cellular automata, M. Pivato and Reem Yassawi, Ergodic Theory & Dynamical Systems, 22 (#6), 2002, pp. 1269-1287.
71. Building a stationary stochastic process from a finite-dimensional marginal, M. Pivato, Canadian Journal of Mathematics, 53 (#2), 2001, pp. 382-413.
72. Measures of dependence for multivariate Lévy distributions, Jeff Boland, Tom Hurd, M. Pivato and Luis Seco, Disordered and Complex Systems (London, 2000) pp. 289- 295; American Institute of Physics Conference Proceedings vol. 553.

Book Reviews

• Review of Moral Uncertainty, by William MacAskill, Krister Bykvist and Toby Ord. Oxford University Press, 2020, viii + 226 pages (in Economics and Philosophy, 2022).

Doctoral Thesis: Analytical Methods for Multivariate Stable Probability Distributions, Department of Mathematics, University of Toronto, 2001. (Supervisor: Luis Seco.)